find the equation of the line tangent to y=×^2+radical ×where ×=2
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Answer:
y
2
=4ax....(1)
2yy
′
=4a
⇒ y
′
=
y
2a
(slope tangent =2)
⇒
y
2a
=2
⇒ y=a
put y=a in (1)
a
2
=4ax⇒x=
4
a
Tangent y−a=2(x−
4
a
)
y=2x+
2
a
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